The paper describes a new scenario for the transition to complex dynamics in a vibrating system with an unbalanced rotor and a relay feedback control. We show that the transition from a regular dynamics without switch...
The paper describes a new scenario for the transition to complex dynamics in a vibrating system with an unbalanced rotor and a relay feedback control. We show that the transition from a regular dynamics without switching events in the relay element to an irregular dynamics which takes place completely in the hysteresis region occurs via a cascade of persistence border collisions.
Complete and incomplete additive/multiplicative pairwise comparison matrices are ap- plied in preference modelling, multi-attribute decision making and ranking. The equivalence of two well known methods is proved in t...
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We give an exact analytical results for diffusion with a power-law position dependent diffusion coefficient along the main channel (backbone) on a comb and grid comb structures. For the mean square displacement along ...
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The problem of determining whether a given quantum state is entangled lies at the heart of quantum information processing, which is known to be an NP-hard problem in general. Despite the proposed many methods such as ...
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A common challenge faced in quantum physics is finding the extremal eigenvalues and eigenvectors of a Hamiltonian matrix in a vector space so large that linear algebra operations on general vectors are not possible. T...
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In this study, we discuss linear orders of intuitionistic fuzzy values (IFVs). Then we introduce an intuitionistic fuzzy weighted arithmetic average operator. Some fundamental properties of this operator are investiga...
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The class of density-based clustering algorithms excels in detecting clusters of arbitrary shape. DBSCAN, the most common representative, has been demonstrated to be useful in a lot of applications. Still the algorith...
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ISBN:
(纸本)9781509042418
The class of density-based clustering algorithms excels in detecting clusters of arbitrary shape. DBSCAN, the most common representative, has been demonstrated to be useful in a lot of applications. Still the algorithm suffers from two drawbacks, namely a non-trivial parameter estimation for a given dataset and the limitation to data sets with constant cluster density. The first was already addressed in our previous work, where we presented two hierarchical implementations of DBSCAN. In combination with a simple optimization procedure, those proofed to be useful in detecting appropriate parameter estimates based on an objective function. However, our algorithm was not capable of producing clusters of differing density. In this work we will use the hierarchical information to extract variable density clusters and nested cluster structures. Our evaluation shows that the clustering approach based on edge-lengths of the dendrogram or based on area estimates successfully detects clusters of arbitrary shape and density.
Fuzzy density-based clustering has been a challenge. Research has been focused on fuzzyfying the DBSCAN algorithm. Different methods have been proposed that use a fuzzy definition of core points within the DBSCAN algo...
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ISBN:
(纸本)9781509042418
Fuzzy density-based clustering has been a challenge. Research has been focused on fuzzyfying the DBSCAN algorithm. Different methods have been proposed that use a fuzzy definition of core points within the DBSCAN algorithm. Our approach adapts the membership degree calculation known from fuzzy c-means by replacing the need for a distinguished centroid point by a more general cluster skeleton. These skeletons represent the clusters' shapes more accurately than a single point. We show how membership degrees can be calculated and that the resulting partitioning matrices allow the selection of more favorable parameters in the clustering process.
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